从两量子位核磁共振量子处理器物理模型出发，利用Raedt 小组提出的自旋-1 /2 代数理论，根据量子控制非门的定义及Grover 量子算法原理，介绍了量子控制非门的4 种不同脉冲序列及两量子位Grover 量子算法的两种不同脉冲序列的设计过程，通过数值求解含时薛定谔方程模拟量子控制非门和两量子位Grover 量子算法，等价于执行量子控制非门和两量子位Grover 量子算法运算，演示和分析量子控制非门及两量子位Grover 量子算法核磁共振脉冲序列设计呈现的量子程序问题.

Based on the physical model of two qubit NMR quantum processor，using the spin-1/2 algebra theory proposed by Raedt group，according to the definition of quantum controlled not gate and principle of Grover quantum algorithm，the design process of four different pulse sequences of quantum controlled not gate and two different pulse sequences of two qubit Grover quantum algorithm are introduced. The time-dependent Schrdinger equation is numerically calculated for simulating quantum controlled not gate and two-qubit Grover quantum algorithm， which is equivalent to executing quantum controlled not gate and two-qubit Grover quantum algorithm operations， we demonstrate and analyze the quantum programming problem of quantum controlled not gate and two-qubit Grover quantum algorithm nuclear magnetic resonance pulse sequence design.